Preprint 2000-049
High Resolution Nonoscillatory Central Difference Schemes
for the 2D Euler Equations via Artificial Compression
Knut-Andreas Lie and Sebastian Noelle
Abstract:
We suggest to augment second-order, nonoscillatory, central difference
schemes with Harten's artificial compression method (ACM) to sharpen the
resolution of linear fields. ACM employs a partial characteristic
decomposition to single out the linear fields, for which a steeper
reconstruction is applied. The remarkable power of this technique
is demonstrated for three test problems for the Euler equations from
gas dynamics, and its dangers are pointed out.
- Paper:
- Available as PostScript (1.3 Mbytes) or
gzipped PostScript (277 Kbytes; uncompress
using gunzip).
- Author(s):
-
Knut-Andreas Lie,
<Knut-Andreas.Lie@math.sintef.no>
-
Sebastian Noelle,
<noelle@igpm.rwth-aachen.de>
- Publishing information:
- Accepted in the Proceedings of the 11th ECMI Conference
- Comments:
- Revised version, May 2001.
- Submitted by:
-
<Knut-Andreas.Lie@math.sintef.no>
December 8 2000.
[
1996
|
1997
|
1998
|
1999
|
2000
|
All Preprints
|
Preprint Server Homepage
]
© The copyright for the following
documents lies with the authors. Copies of these documents made by electronic
or mechanical means including information storage and retrieval systems, may
only be employed for personal use.
Conservation Laws Preprint Server <conservation@math.ntnu.no>
Last modified: Wed May 23 14:22:07 MET DST 2001